We are playing the Guess Game. The game is as follows:
I pick a number from 1 to n. You have to guess which number I picked.
Every time you guess wrong, I will tell you whether the number I picked is higher or lower than your guess.
You call a pre-defined API int guess(int num), which returns 3 possible results:
-1: The number I picked is lower than your guess (i.e.pick < num).1: The number I picked is higher than your guess (i.e.pick > num).0: The number I picked is equal to your guess (i.e.pick == num).
Return the number that I picked.
Example 1:
Input: n = 10, pick = 6 Output: 6
Example 2:
Input: n = 1, pick = 1 Output: 1
Example 3:
Input: n = 2, pick = 1 Output: 1
Example 4:
Input: n = 2, pick = 2 Output: 2
Constraints:
1 <= n <= 231 - 11 <= pick <= n